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Finding the Fourth Proportional to 302,414.60, 417,305.04 and 175,098.80

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Solution

The fourth proportional to 302,414.60, 417,305.04 and 175,098.80 is: 241,620.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,414.60 : 417,305.04 = 175,098.80 : x
  2. Step 2: Convert to fraction form
    302,414.60/417,305.04 = 175,098.80/x
  3. Step 3: Cross multiply
    302,414.60x = 417,305.04 × 175,098.80
  4. Step 4: Simplify right side
    302,414.60x = 73,069,611,737.95
  5. Step 5: Solve for x
    x = 73,069,611,737.95/302,414.60
  6. Step 6: Final answer
    x = 241,620.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.